A Collocation Method for Fredholm Integral Equations of the First Kind via Iterative Regularization Scheme

被引：1

作者：

Bechouat, Tahar ^{[1
]}

机构：

[1] Mohammed Cher Messaadia Univ, Fac Sci & Technol, Dept Math & Informat, BP 1553, Souk Ahras 41000, Algeria

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2023年 / 28卷 / 02期

关键词：

ill-posed problems; iterative regularization scheme; Legendre collocation method; integral equations of the first kind; MULTISCALE GALERKIN METHOD; RECONSTRUCTION;

D O I：

10.3846/mma.2023.16453

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

To solve the ill-posed integral equations, we use the regularized collo-cation method. This numerical method is a combination of the Legendre polyno-mials with non-stationary iterated Tikhonov regularization with fixed parameter. A theoretical justification of the proposed method under the required assumptions is detailed. Finally, numerical experiments demonstrate the efficiency of this method.

引用

页码：237 / 254

页数：18

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